Final Version A

Final Version A - Physics 6B Katsushi Arisaka March 15...

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1 Physics 6B March 15 (Tue), 2011 Katsushi Arisaka Final Exam (Type A) Last Name: _______________________ First Name: ______________________ Student ID No. ____________________ Enrolled Lecture: 2 (Noon) / 3 (1pm) Important Remarks: You have 3 hours, and it will take about 3 hours to complete. Please take a quick look at all six questions first, and start from the question which you feel the most confident. Sorry to tell you but during the exam, close books, close notes, no calculator is allowed. Please use any open space on the exam for your solution. Please write down how you derived concisely (which helps you to get a partial credit even if the final answer is wrong.) If a vector is asked, you must specify either o both magnitude and direction, or o x -component and y -component Total is 200 points. Your Points: Question Your Points Full Points 1 3 point × 9 = 27 2 4 point × 7 = 28 3 2 point × 22 = 44 4 4 point × 12 = 48 5 5 pt × 1 + 2 pt × 12 = 29 6 2 point × 12 = 24 Total 200
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2 For your convenience, bellows are the fundamental laws in Electricity and Magnetism which will be required to solve most of problems . Gauss’s Law: = 0 ε q A d E Ampere’s Law: I s d B 0 μ = Faraday’s Law: dt d s d E B Φ = Lorentz Force: ( ) B v E q F × + = Permittivity of Free Space: 2 2 12 0 / 10 85 . 8 m N C × = Permeability of Free Space: A m T / 4 7 0 × = π Feel free to use space bellow to write down the important formulae which you have memorized.
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3 1 Two point charges are located as shown below. One has positive charge + Q and located at ( x, y ) = (0, 0). The other has negative charge -2 Q and located at (0, a ). Let’s consider the force F acting on the charge -2 Q by the charge + Q . a) Write down the vector F (acting on the charge -2 Q ) on the figure below. b) What is the magnitude of the force ? c) What is the potential energy stored in this system (consisting of this pair of charges)? F +Q -2Q x y (0 , a )
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4 Next, let’s calculate the Electric Field E and Potential V at point P = (- a, 0). d) What is the Electric Field 1 E at point P = (- a, 0) by the charge + Q ? Write down the vector in the figure above and compute the magnitude, then specify x/y components. e) What is the Electric Field 2 E at point P = (- a, 0) by the charge -2 Q ? Write down the vector in the figure above and compute the magnitude, then specify x/y components. f) What is the total Electric Field vector E at point P = ( -a , 0)? Write down the vector E in the figure first. Then compute the x/y components. g) What is the Electric Potential V at point P = ( -a , 0)?
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Final Version A - Physics 6B Katsushi Arisaka March 15...

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